1. Radical Functions and Rational Exponents
Chapter 7
Radical Functions and Rational Exponents

2. 7-1 Roots and Radical Expressions

3. 7-1 Roots and Radical Expressions

4. 7-1 Roots and Radical Expressions

5. 7-1 Roots and Radical Expressions

6. Warm Up

7. 7-2 multiplying and dividing radical expressions

8. simplifying radical expressions

9. 7-2 multiplying and dividing radical expressions

10. 7-2 multiplying and dividing radical expressions

11. 7-2 multiplying and dividing radical expressions
Homework:
page 383 (1-33) odd

12. warm up

13. 7-3 Binomial Radical Expressions

15. 7-2 multiplying and dividing rational expressions

18. 7-2 multiplying and dividing rational expressions

20. Homework: p 388/389 (1-35) odd

21. warm up – checkpoint quiz

22. warm up – checkpoint quiz

23. 7-4 Rational Exponents
Another way to write a radical expression is with a rational exponent:

24. 7-4 Rational Exponents

25. 7-4 Rational Exponents

26. 7-4 Rational Exponents

27. 7-4 Rational Exponents

28. 7-4 Rational Exponents

29. 7-4 Rational Exponents

30. 7-4 Rational Exponents

31. homework: p 394-395 (1-47) odd, except 27 and 29

32. 7-5 Solving Square Root Equations
Warm Up

33. 7-5 Solving Radical Equations
A radical equation is an equation that has a variable in a radicand (or variable with a fractional exponent.)
If the radical has index 2, the equation is a square root equation.
To solve a radical equation, isolate the radical expression, then raise both sides of the equation to the same power.

34. 7-5 Solving Radical Equations

35. 7-5 Solving Radical Equations

36. warm up
simplify all expressions

37. 7-5 Solving Radical Equations

38. 7-5 Solving Radical Equations

39. 7-5 Solving Radical Equations

40. 7-5 Solving Radical Equations

41. 7-5 Solving Radical Equations

42. page 400 (1-29) odd

43. warm up

44. 7-6 Function Operations

46. 7-6 Composition of Functions

47. 7-6 Composition of Functions
find f(g(x)) and g(f(x))

48. 7-6 Composition of Functions

49. 7-6 Composition of Functions

50. 7-6 Composition of Functions
Homework:
page (1-35) odd

54. 7-7 Inverse Functions

55. 7-7 Inverse Functions
Since an inverse exchanges x values with the y values, to find an inverse of an equation you can interchange x and y, and then solve the equation for y.

56. 7-7 Inverse Functions
Find the inverse for each function.

57. 7-7 Inverse Functions

58. 7-7 Inverse Functions homework
page 416 (5-21) odds – only find the inverse functions, you do not need to graph these